The Kahler Cone as Cosmic Censor

TL;DR

This paper proves that in M-theory, five-dimensional domain-wall and black-hole solutions remain free of naked singularities when Kahler moduli are within the extended Kahler cone, linking moduli space geometry to spacetime regularity.

Contribution

It provides a model-independent proof ensuring regularity of solutions within the extended Kahler cone, connecting moduli space geometry with spacetime properties.

Findings

Solutions lack naked singularities inside the extended Kahler cone

Kahler-cone metric remains regular at boundary regions

Relations established between moduli space geometry and spacetime structure

Abstract

M-theory effects prevent five-dimensional domain-wall and black-hole solutions from developing curvature singularities. While so far this analysis was performed for particular models, we now present a model-independent proof that these solutions do not have naked singularities as long as the Kahler moduli take values inside the extended Kahler cone. As a by-product we obtain information on the regularity of the Kahler-cone metric at boundaries of the Kahler cone and derive relations between the geometry of moduli space and space-time.